## The basic files and libraries needed for most presentations
# creates the libraries and common-functions sections
read_chunk("../common/utility_functions.R")

require(ggplot2) #for plots
require(lattice) # nicer scatter plots
require(plyr) # for processing data.frames
require(grid) # contains the arrow function
require(biOps) # for basic image processing
require(doMC) # for parallel code
require(png) # for reading png images
require(gridExtra)
require(reshape2) # for the melt function
## To install EBImage
# source("http://bioconductor.org/biocLite.R")
# biocLite("EBImage")
require(EBImage) # for more image processing
used.libraries<-c("ggplot2","lattice","plyr","reshape2","grid","gridExtra","biOps","png","EBImage")

# start parallel environment
registerDoMC()
# functions for converting images back and forth
im.to.df<-function(in.img) {
  out.im<-expand.grid(x=1:nrow(in.img),y=1:ncol(in.img))
  out.im$val<-as.vector(in.img)
  out.im
}
df.to.im<-function(in.df,val.col="val",inv=F) {
  in.vals<-in.df[[val.col]]
  if(class(in.vals[1])=="logical") in.vals<-as.integer(in.vals*255)
  if(inv) in.vals<-255-in.vals
  out.mat<-matrix(in.vals,nrow=length(unique(in.df$x)),byrow=F)
  attr(out.mat,"type")<-"grey"
  out.mat
}
ddply.cutcols<-function(...,cols=1) {
  # run standard ddply command 
  cur.table<-ddply(...)
  cutlabel.fixer<-function(oVal) {
    sapply(oVal,function(x) {
      cnv<-as.character(x)
      mean(as.numeric(strsplit(substr(cnv,2,nchar(cnv)-1),",")[[1]]))
    })
  }
  cutname.fixer<-function(c.str) {
    s.str<-strsplit(c.str,"(",fixed=T)[[1]]
    t.str<-strsplit(paste(s.str[c(2:length(s.str))],collapse="("),",")[[1]]
    paste(t.str[c(1:length(t.str)-1)],collapse=",")
  }
  for(i in c(1:cols)) {
    cur.table[,i]<-cutlabel.fixer(cur.table[,i])
    names(cur.table)[i]<-cutname.fixer(names(cur.table)[i])
  }
  cur.table
}

show.pngs.as.grid<-function(file.list,title.fun,zoom=1) {
  preparePng<-function(x) rasterGrob(readPNG(x,native=T,info=T),width=unit(zoom,"npc"),interp=F)
  labelPng<-function(x,title="junk") (qplot(1:300, 1:300, geom="blank",xlab=NULL,ylab=NULL,asp=1)+
                                        annotation_custom(preparePng(x))+
                                        labs(title=title)+theme_bw(24)+
                                        theme(axis.text.x = element_blank(),
                                              axis.text.y = element_blank()))
  imgList<-llply(file.list,function(x) labelPng(x,title.fun(x)) )
  do.call(grid.arrange,imgList)
}
## Standard image processing tools which I use for visualizing the examples in the script
commean.fun<-function(in.df) {
  ddply(in.df,.(val), function(c.cell) {
    weight.sum<-sum(c.cell$weight)
    data.frame(xv=mean(c.cell$x),
               yv=mean(c.cell$y),
               xm=with(c.cell,sum(x*weight)/weight.sum),
               ym=with(c.cell,sum(y*weight)/weight.sum)
    )
  })
}

colMeans.df<-function(x,...) as.data.frame(t(colMeans(x,...)))

pca.fun<-function(in.df) {
  ddply(in.df,.(val), function(c.cell) {
    c.cell.cov<-cov(c.cell[,c("x","y")])
    c.cell.eigen<-eigen(c.cell.cov)
    
    c.cell.mean<-colMeans.df(c.cell[,c("x","y")])
    out.df<-cbind(c.cell.mean,
                  data.frame(vx=c.cell.eigen$vectors[1,],
                             vy=c.cell.eigen$vectors[2,],
                             vw=sqrt(c.cell.eigen$values),
                             th.off=atan2(c.cell.eigen$vectors[2,],c.cell.eigen$vectors[1,]))
    )
  })
}
vec.to.ellipse<-function(pca.df) {
  ddply(pca.df,.(val),function(cur.pca) {
    # assume there are two vectors now
    create.ellipse.points(x.off=cur.pca[1,"x"],y.off=cur.pca[1,"y"],
                          b=sqrt(5)*cur.pca[1,"vw"],a=sqrt(5)*cur.pca[2,"vw"],
                          th.off=pi/2-atan2(cur.pca[1,"vy"],cur.pca[1,"vx"]),
                          x.cent=cur.pca[1,"x"],y.cent=cur.pca[1,"y"])
  })
}

# test function for ellipse generation
# ggplot(ldply(seq(-pi,pi,length.out=100),function(th) create.ellipse.points(a=1,b=2,th.off=th,th.val=th)),aes(x=x,y=y))+geom_path()+facet_wrap(~th.val)+coord_equal()
create.ellipse.points<-function(x.off=0,y.off=0,a=1,b=NULL,th.off=0,th.max=2*pi,pts=36,...) {
  if (is.null(b)) b<-a
  th<-seq(0,th.max,length.out=pts)
  data.frame(x=a*cos(th.off)*cos(th)+b*sin(th.off)*sin(th)+x.off,
             y=-1*a*sin(th.off)*cos(th)+b*cos(th.off)*sin(th)+y.off,
             id=as.factor(paste(x.off,y.off,a,b,th.off,pts,sep=":")),...)
}
deform.ellipse.draw<-function(c.box) {
  create.ellipse.points(x.off=c.box$x[1],
                        y.off=c.box$y[1],
                        a=c.box$a[1],
                        b=c.box$b[1],
                        th.off=c.box$th[1],
                        col=c.box$col[1])                    
}
bbox.fun<-function(in.df) {
  ddply(in.df,.(val), function(c.cell) {
    c.cell.mean<-colMeans.df(c.cell[,c("x","y")])
    xmn<-emin(c.cell$x)
    xmx<-emax(c.cell$x)
    ymn<-emin(c.cell$y)
    ymx<-emax(c.cell$y)
    out.df<-cbind(c.cell.mean,
                  data.frame(xi=c(xmn,xmn,xmx,xmx,xmn),
                             yi=c(ymn,ymx,ymx,ymn,ymn),
                             xw=xmx-xmn,
                             yw=ymx-ymn
                  ))
  })
}

# since the edge of the pixel is 0.5 away from the middle of the pixel
emin<-function(...) min(...)-0.5
emax<-function(...) max(...)+0.5
extents.fun<-function(in.df) {
  ddply(in.df,.(val), function(c.cell) {
    c.cell.mean<-colMeans.df(c.cell[,c("x","y")])
    out.df<-cbind(c.cell.mean,data.frame(xmin=c(c.cell.mean$x,emin(c.cell$x)),
                                         xmax=c(c.cell.mean$x,emax(c.cell$x)),
                                         ymin=c(emin(c.cell$y),c.cell.mean$y),
                                         ymax=c(emax(c.cell$y),c.cell.mean$y)))
  })
}

common.image.path<-"../common"
qbi.file<-function(file.name) file.path(common.image.path,"figures",file.name)
qbi.data<-function(file.name) file.path(common.image.path,"data",file.name)

th_fillmap.fn<-function(max.val) scale_fill_gradientn(colours=rainbow(10),limits=c(0,max.val))

library("ggthemes")
# guesstimates
time.data<-data.frame(
  year=c(2000,2008,2014,2020),
  "Experiment Design"=c(10,10,8,8),
  "Measurements"=c(50,5,0.5,0.1),
  "Management"=c(20,15,10,8),
  "Post Processing"=c(50,50,50,50)
  )
mtd<-ddply(melt(time.data,id.vars="year"),.(year),
           function(x) cbind(x,sum.val=sum(x$value),norm.val=100*x$value/sum(x$value))
           )
mtd$variable<-gsub("[.]"," ",mtd$variable)
ggplot(mtd,aes(x=as.factor(year),y=norm.val,fill=variable))+
  geom_bar(stat="identity")+
  labs(x="Year",y="Relative Time",fill="",title="Experimental Time Breakdown")+
  theme_economist(20)

output.df<-data.frame(Year=time.data$year,
                      Measurements=
                        365*24/(time.data$Experiment.Design+time.data$Measurements),
                           Publications=365*24/rowSums(time.data[,c(2:5)])
                           )
mtd2<-melt(output.df,id.vars="Year")
ggplot(mtd2,aes(x=as.factor(Year),y=value,fill=variable))+
  geom_bar(stat="identity",position="dodge")+
  scale_y_sqrt()+
  labs(x="Year",y="Output",fill="")+
  theme_wsj(25)

image(255*matrix(runif(1000*1000),nrow=1000))

# stolen from https://gist.github.com/humberto-ortiz/de4b3a621602b78bf90d
moores.txt<-c("Id Name  Year  Count(1000s)  Clock(MHz)\n",
        "0            MOS65XX  1975           3.51           14\n",
        "1          Intel8086  1978          29.00           10\n",
        "2          MIPSR3000  1988         120.00           33\n",
        "3           AMDAm486  1993        1200.00           40\n",
        "4        NexGenNx586  1994        3500.00          111\n",
        "5          AMDAthlon  1999       37000.00         1400\n",
        "6   IntelPentiumIII  1999       44000.00         1400\n",
        "7         PowerPC970  2002       58000.00         2500\n",
        "8       AMDAthlon64  2003      243000.00         2800\n",
        "9    IntelCore2Duo  2006      410000.00         3330\n",
        "10         AMDPhenom  2007      450000.00         2600\n",
        "11      IntelCorei7  2008     1170000.00         3460\n",
        "12      IntelCorei5  2009      995000.00         3600")
moores.pt.text<-gsub("zZ","\n",gsub("\\s+",",",paste(moores.txt,collapse="zZ")))
moores.df<-read.csv(text=moores.pt.text)
names(moores.df)[c(4,5)]<-c("kTransistors","Speed")
moores.df<-moores.df[,c(2:5)]
library(scales)
kscale_y_log10<-function(min=10,max=1e7,steps=6) 
              scale_y_log10(
                  breaks = trans_breaks('log10', function(x) 10^x,5)(c(min:max)),
                  minor_breaks = trans_breaks('log10',function(x) 10^x,steps),
                  labels = trans_format('log10', math_format(10^.x)))
moores.table<-melt(moores.df,
  id.vars=c("Year","Name"))
moores.law<-function(year) moores.df[1,"kTransistors"]*2^((year-moores.df[1,"Year"])/1.5)
moores.table$variable<-gsub("Speed","Speed (MHz)",moores.table$variable)
ggplot(moores.table,aes(Year,value,color=variable))+
  geom_line(aes(linetype="Moore's Law",y=moores.law(moores.table$Year)),color="black",
            size=2,alpha=0.8)+

  geom_point()+  
  geom_smooth()+
  geom_bar(data=data.frame(x=2005,y=10^4),
           aes(x=x,y=y,fill="MHz Saturation"),width=7,stat="identity",
           alpha=0.25,color="black")+
  #scale_y_log10()+
  kscale_y_log10()+

  xlim(1975,2012)+
  labs(color="",fill="",y="",linetype="")+
  theme_economist(20)

cloudCostGen<-function(cloudPeakCost,cloudSpotCost) function(hours,peakRatio=1) 
  hours*peakRatio*cloudPeakCost+hours*(1-peakRatio)*cloudSpotCost
localCostGen<-function(compCost,energyPriceStd,compPowerRaw) {
  energyPrice<-energyPriceStd/1e6 # $ / Whr
  function(hours)
    compCost+energyPrice*compPowerRaw*hours
}

make.res.table<-function(cloudCost,localCost,  years) {

  ldply(years,function(life) {
    timef<-seq(0,life*24*365,length.out=50)
    data.frame(life=life*12,hours=timef,
               hoursPerWeek=timef/(life*52),
               WorstCaseCloud=cloudCost(timef,1),
               BestCaseCloud=cloudCost(timef,0),
               MiddleCaseCloud=cloudCost(timef,0.5),
               LocalWorkstation=localCost(timef))
  })
}

random.sim<-function(cloudCost,localCost,n.guess) {
  utility<-runif(n.guess,min=0,max=1)
  serviceYears<-runif(n.guess,min=1.5,max=6.5)
  peak<-runif(n.guess,min=0,max=1)
  hours<-serviceYears*utility*24*365
  ot<-data.frame(hours=hours,
             years=serviceYears,
             months=serviceYears*12,
             ryears=round(serviceYears),
             utility=utility,
             peak=peak,
             clcost = cloudCost(hours,peak),
             wscost = localCost(hours)
  )
  ot$cloudPremium<-with(ot,clcost/wscost*100)
  ot
}

scen.fcn<-function(c.pts) {
  data.frame(
    clcost=mean(c.pts$clcost),
    wscost=mean(c.pts$wscost)
  )
}

scen.grid<-function(scen.table.raw) {
  ot<-ddply.cutcols(scen.table.raw,.(cut_interval(utility,7),
                                     cut_interval(peak,7),
                                     cut_interval(months,4)),cols=3,
                    scen.fcn
  )
  ot$cloudPremium<-with(ot,clcost/wscost*100)
  ot
}

scen.table<-function(scen.table.raw) {
  ot<-ddply.cutcols(scen.table.raw,.(cut_interval(utility,25),
                                     cut_interval(peak,5),
                                     cut_interval(months,5)),cols=3,
                    scen.fcn
  )
  ot$cloudPremium<-with(ot,clcost/wscost*100)
  
  ddply(ot,.(peak,months),function(c.pts) {
    n.pts<-subset(c.pts,clcost<=wscost)
    subset(n.pts,utility==max(n.pts$utility))
  })
}

compCost<-3999.99 # http://www.bestbuy.com/site/cybertronpc-desktop-intel-core-i7-64gb-memory-2tb-hdd-120gb-solid-state-drive-120gb-solid-state-drive-black-blue/6357048.p?id=1219209052767&skuId=6357048
compPowerRaw<-190  #Watts http://www.eu-energystar.org/en/en_008.shtml#use
energyPriceStd<-0.143 # Eu/KWHr http://www.eu-energystar.org/en/en_008.shtml#use
energyPrice<-energyPriceStd/1000*1.2 # $ / Whr
cloudPeakCost<-0.780
cloudSpotCost<-0.097

cloudCost<-function(hours,peakRatio=1) 
  hours*peakRatio*cloudPeakCost+hours*(1-peakRatio)*cloudSpotCost
localCost<-function(hours)
  compCost+energyPrice*compPowerRaw*hours

res.table<-
  ldply(c(3),function(life) {
    timef<-seq(0,life*24*365,length.out=50)
    data.frame(life=life*12,hours=timef,
                      hoursPerWeek=timef/(life*52),
                      WorstCaseCloud=cloudCost(timef,1),
                      BestCaseCloud=cloudCost(timef,0),
                      MiddleCaseCloud=cloudCost(timef,0.5),
                      LocalWorkstation=localCost(timef))
  })
ggplot(res.table,
       aes(x=hoursPerWeek))+
  geom_line(aes(y=LocalWorkstation,color="Local Workstation"),size=2)+
  geom_errorbar(aes(ymin=WorstCaseCloud,ymax=BestCaseCloud,color="Cloud"))+
  labs(x="Average Computer Usage (hr/wk)",y="Cost ($)",color="Solution")+
  facet_wrap(~life)+
  theme_bw(25)

n.guess<-1e6
utility<-runif(n.guess,min=0,max=1)
serviceYears<-runif(n.guess,min=1.5,max=6.5)
peak<-runif(n.guess,min=0,max=1)
hours<-serviceYears*utility*24*365
scen.table.raw<-data.frame(hours=hours,
                       years=serviceYears,
                       months=serviceYears*12,
                       ryears=round(serviceYears),
                       utility=utility,
                       peak=peak,
                       clcost = cloudCost(hours,peak),
                       wscost = localCost(hours)
                                  )
scen.fcn<-function(c.pts) {
                                             data.frame(
                                               clcost=mean(c.pts$clcost),
                                               wscost=mean(c.pts$wscost)
                                               )
                                             }
scen.table<-ddply.cutcols(scen.table.raw,.(cut_interval(utility,7),
                                           cut_interval(peak,7),
                                           cut_interval(months,4)),cols=3,
                          scen.fcn
                                           )
scen.table$cloudPremium<-with(scen.table,clcost/wscost*100)
ggplot(scen.table,aes(y=utility*100,x=peak*100,fill=cloudPremium))+
  geom_raster()+
  geom_text(aes(label=ifelse(cloudPremium<100,round(cloudPremium),"")))+
  labs(x="Peak Usage (%)",y="Utilization (%)",fill="Cloud Costs\n(% of Workstation)")+
  scale_fill_gradientn(colours=rainbow(4))+
  facet_wrap(~months)+
  theme_bw(10)

scen.table<-ddply.cutcols(scen.table.raw,.(cut_interval(utility,25),
                                           cut_interval(peak,5),
                                           cut_interval(months,5)),cols=3,
                          scen.fcn
                                           )
scen.table.sub<-ddply(scen.table,.(peak,months),function(c.pts) {
  n.pts<-subset(c.pts,clcost<=wscost)
  subset(n.pts,utility==max(n.pts$utility))
})

ggplot(scen.table.sub,aes(100*peak,months,fill=100*utility))+
  geom_raster(alpha=0.65)+
  geom_text(aes(label=round(utility*168)))+
  labs(x="% Peak Time",y="Computer Lifetime\n(Months)",fill="Utilization (%)")+
  scale_fill_gradientn(colours=rainbow(2))+
  theme_bw(20)

source('../common/schedule.R')
ksable<-function(in.df,...) {
  rownames(in.df)<-1:nrow(in.df)
  kable(in.df,...)
}

ggplot(basic.image,aes(x,y))+
  geom_tile(fill="yellow",color="black")+
  geom_text(aes(label=paste("(",x,",",y,")\n",Intensity)))+
  coord_equal()+
  theme_bw(15)

simple.image<-ggplot(basic.image,aes(x,y,fill=Intensity))+
  geom_tile(color="black")+
  geom_text(aes(label=paste("(",x,",",y,")\n",round(Intensity))))+
  coord_equal()+
  theme_bw(15)

simple.image

simple.image+
  scale_fill_gradientn(colours=rainbow(6))

simple.image+
  scale_fill_gradientn(colours=c("black","red","white"),trans="log")

ggplot(basic.image,aes(x=Intensity,y=Intensity))+
  geom_bar(aes(fill=Intensity),stat="identity",position="dodge",color="black",width=2)+
  scale_fill_gradientn(colours=rainbow(6))+
  labs(y="Color")+
  theme_bw(20)+
  theme(axis.ticks = element_blank(), 
        axis.text.y = element_blank())

ggplot(basic.image,aes(x=Intensity,y=log(Intensity)))+
  geom_bar(aes(fill=Intensity),stat="identity",position="dodge",color="black",width=2)+
  scale_fill_gradientn(colours=c("black","red","white"),trans="log")+
  labs(y="Color")+
  theme_bw(20)+
  theme(axis.ticks = element_blank(), 
        axis.text.y = element_blank())

bone.img<-t(readPNG(qbi.file("tiny-bone.png")))
attr(bone.img,"type")<-"grey"
meas.img<-im.to.df(flip(gblur(bone.img,3)))
both.img<-rbind(
    cbind(mutate(meas.img,val=0.9*val+0.4),src="Normal"),
    cbind(mutate(meas.img,val=log10(40*val)),src="Log-transformed")
)
ggplot(both.img,aes(x,y,fill=val))+
  geom_tile()+
  coord_equal()+
  facet_wrap(~src)+
  scale_fill_gradientn(colours=c("black","red","white"))+
  #guides(fill=F)+
  labs(x="",y="")+
  theme_bw(20)+
  theme(axis.ticks = element_blank(), 
        axis.text.x = element_blank(),
        axis.text.y = element_blank())

ggplot(basic.image,aes(x,y))+
  geom_tile(aes(fill=Intensity),color="black",alpha=0.8)+
  geom_text(aes(label=paste("(",x,",",y,",",z,")\n",Intensity)))+
  facet_grid(z~.)+
  guides(fill=F)+
  scale_fill_gradientn(colours=rainbow(4))+
  theme_bw(15)

ggplot(basic.image,aes(x,y))+
  geom_tile(aes(fill=Intensity,alpha=Transparency),color="black")+
  geom_text(aes(
    label=paste("(",x,",",y,")\n","I:",Intensity,"\nT:",Transparency)
    ))+
  scale_fill_gradientn(colours=rainbow(4))+
  theme_bw(15)

hyper.path<-qbi.data
map.img<-t(readJpeg(hyper.path("raw.jpg"))[,,3]+readJpeg(hyper.path("raw.jpg"))[,,1])#,1,rev)
map.df<-im.to.df(map.img)
impos<-read.table(hyper.path("impos.csv"),sep=",")
names(impos)<-c("x","y")
ggplot(map.df,aes(x,y))+
  geom_raster(aes(fill=val))+
  #geom_tile(data=impos,fill="red",alpha=0.5)+
  geom_point(data=impos,alpha=0.7)+
  geom_point(data=subset(impos, abs(x-252)<20 & abs(y-293)<20),color="red")+
  labs(fill="White Field\nIntensity")+
  xlim(min(impos$x),max(impos$x))+
  ylim(min(impos$y),max(impos$y))+
  coord_equal()+
  theme_bw(20)#,aes(fill="Scanned"))

full.df<-read.csv(hyper.path("full_img.csv"))

full.df<-subset(full.df,wavenum<2500)
ggplot(
  subset(full.df, abs(x-252)<20 & abs(y-293)<20),aes(wavenum,val)
  )+
  geom_line()+
  facet_grid(x~y)+
  labs(x=expression(paste("Wavenumber (",cm^-1,")",sep="")),y="Intensity (au)")+
  theme_bw(10)

bone.img<-t(readPNG(qbi.file("tiny-bone.png")))
attr(bone.img,"type")<-"grey"
meas.img<-im.to.df(flip(gblur(bone.img,3)))
both.img<-rbind(
  cbind(meas.img,src="Measured"),
  cbind(im.to.df(bone.img),src="Reconstructed")
  )
ggplot(both.img,aes(x,y,fill=val))+
  geom_tile()+
  coord_equal()+
  facet_wrap(~src)+
  th_fillmap.fn(2)+
  guides(fill=F)+
  labs(x="",y="")+
  theme_bw(20)+
  theme(axis.ticks = element_blank(), 
        axis.text.x = element_blank(),
        axis.text.y = element_blank())

##
fftshift2<-function (y) 
{
    nx = nrow(y)
    nx2 = floor(nx/2)
    ny = ncol(y)
    ny2 = floor(ny/2)
    y[c((nx2+1):nx,1:nx2),c((ny2+1):ny,1:ny2)]
}
scat.img<-im.to.df(abs(fftshift2(fft(bone.img))))
scat.img<-mutate(scat.img,val=log(val)/3.5)
both.img<-rbind(
  cbind(scat.img,src="Measured"),
  cbind(im.to.df(bone.img),src="Reconstructed")
  )
ggplot(both.img,aes(x,y,fill=val))+
  geom_tile()+
  coord_equal()+
  facet_wrap(~src)+
  th_fillmap.fn(2)+
  guides(fill=F)+
  labs(x="",y="")+
  theme_bw(20)+
  theme(axis.ticks = element_blank(), 
        axis.text.x = element_blank(),
        axis.text.y = element_blank())

library(igraph)
node.names<-c("Buy\nvegetables","Buy meat","Chop\nvegetables","Heat water","Wait for\nboiling","Wait 5\nadd meat")
c.mat<-matrix(0,length(node.names),length(node.names))
for(i in c(1:(length(node.names)-1))) c.mat[i,i+1]<-1
colnames(c.mat)<-node.names
rownames(c.mat)<-node.names
g<-graph.adjacency(c.mat,mode="directed")
V(g)$degree <- degree(g)
V(g)$label <- V(g)$name
V(g)$color <- "lightblue"
V(g)$size<-80
E(g)$width<-2

E(g)$color<-"black"

plot(g,layout=layout.circle)#,  layout= layout.kamada.kawai) ##

new.nodes<-c(node.names,"Mix carrots\npotatoes","add egg\nand fry","tenderize\nmeat",
             "add tomatoes\ncook 10min","wait 5 minutes")
c.mat<-matrix(0,length(new.nodes),length(new.nodes))
# old connections
for(i in c(1:(length(new.nodes)-1))) c.mat[i,i+1]<-1
colnames(c.mat)<-new.nodes
rownames(c.mat)<-new.nodes
c.mat[1,2]<-0
c.mat[1,3]<-1
c.mat[2,3]<-0
c.mat[2,9]<-1
c.mat[6,7]<-0
c.mat[6,11]<-1
# chop vegies
c.mat[3,]<-0
c.mat[3,7]<-1

c.mat[8,]<-0
c.mat[8,5]<-1

g<-graph.adjacency(c.mat,mode="directed")
V(g)$degree <- degree(g)
V(g)$label <- V(g)$name
V(g)$color <- "lightblue"
V(g)$size<-40
E(g)$width<-2

E(g)$color<-"black"

plot(g,layout=layout.circle)#,  layout= layout.kamada.kawai) ##

plot(g,layout= layout.sugiyama(g)$layout)

V(g)[c(1,3,7,8)]$color <- "red"
V(g)[c(4)]$color <- "green"
V(g)[c(2,9,10)]$color <- "yellow"
plot(g,layout= layout.sugiyama(g)$layout)